Atkin-Lehner |
3- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49077d |
Isogeny class |
Conductor |
49077 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
3422679057 = 37 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,-1168] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:43:1] [-6:34:1] |
Generators of the group modulo torsion |
j |
9759185353/4695033 |
j-invariant |
L |
5.2850356223539 |
L(r)(E,1)/r! |
Ω |
1.1194209527978 |
Real period |
R |
1.1803056770433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16359c1 |
Quadratic twists by: -3 |